Question

Two walls and the ceiling of a room meet at right angles at point P. A fly is in the air one meter from one wall, eight meters from the other wall, and nine meters from point P. How many meters is the fly from the ceiling?

Answer 1

The diagram that represents the position of the fly is shown below

First, we would need the length from point A to the fly

By Pythagoras Theorem

Distance from point A to the fly =
`\sqrt{8^(2)+ 1^(2) }= √(65)`

The length of the fly to the ceiling (AP)

AP =
`\sqrt{9^(2)- ( √(65) )^(2) } =4 m`